TY - BOOK AU - Arseniev,Dmitry G. AU - Ivanov,Vladimir M. AU - Korenevsky,Maxim L. TI - Adaptive Stochastic Methods: In Computational Mathematics and Mechanics SN - 9783110554632 AV - QA274 .A774 2018 PY - 2018/// CY - Berlin/Boston PB - Walter de Gruyter GmbH KW - Stochastic processes KW - Stochastic integrals KW - Adaptive control systems KW - Electronic books N1 - Intro -- Preface -- Contents -- Introduction: Statistical Computing Algorithms as a Subject of Adaptive Control -- Part I: Evaluation of Integrals -- 1. Fundamentals of the Monte Carlo Method to Evaluate Definite Integrals -- 2. Sequential Monte Carlo Method and Adaptive Integration -- 3. Methods of Adaptive Integration Based on Piecewise Approximation -- 4. Methods of Adaptive Integration Based on Global Approximation -- 5. Numerical Experiments -- 6. Adaptive Importance Sampling Method Based on Piecewise Constant Approximation -- Part II: Solution of Integral Equations -- 7. Semi-Statistical Method of Solving Integral Equations Numerically -- 8. Problem of Vibration Conductivity -- 9. Problem on Ideal-Fluid Flow Around an Airfoil -- 10. First Basic Problem of Elasticity Theory -- 11. Second Basic Problem of Elasticity Theory -- 12. Projectional and Statistical Method of Solving Integral Equations Numerically -- Afterword -- Bibliography -- Index UR - https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=5159333 ER -